Il Nuovo Cimento A (1965-1970)

, Volume 18, Issue 4, pp 663–674 | Cite as

Equal-time algebra and light-cone commutators

  • M. O. Taha


We discuss the sum rules of equal-time algebra in a refined form of the infinite-momentum limit and show that they reduce to those obtained from light-cone commutators.

Равновременная алгебра и коммутаторы на световом конусе


Мы обсуждаем правила сумм равновременной алгебры в усоверщенствованной форме в пределе бесконечного импульса. Покаэывается, уто рассматриваемые правила сумм приводятся к правилам сумм, полученным иэ коммутаторов на световом конусе.


Si discutono le regole di somma dell’algebra dei tempi uguali in una forma raffinata del limite dell’impulso infinito e si dimostra che esse si riducono a quelle ottenute dalle relazioni di commutazione del cono luce.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    J. M. Cornwall andR. Jackiw:Phys. Rev. D,4, 367 (1971).CrossRefADSGoogle Scholar
  2. (2).
    J. B. Kogut andD. E. Soper:Phys. Rev. D,1, 2901 (1970);J. D. Bjorken, J. B. Kogut andD. E. Soper:Phys. Rev. D,3, 1382 (1971).CrossRefADSGoogle Scholar
  3. (3).
    D. A. Dicus, R. Jackiw andV. L. Teplitz:Phys. Rev. D,4, 1733 (1971).CrossRefADSGoogle Scholar
  4. (4).
    SeeS. L. Adler andR. F. Dashen:Current Algebra (New York, 1968), and references therein.Google Scholar
  5. (5).
    R. Jackiw:Comm. Nucl. Part. Phys.,5, 153 (1971).Google Scholar
  6. (6).
    G. Segré:Phys. Rev. Lett.,26, 796 (1971).CrossRefADSGoogle Scholar
  7. (7).
    See Appendix B of ref. (3).CrossRefADSGoogle Scholar
  8. (8).
    M. O. Taha:Causality and scaling restrictions on the electromagnetic equal-time commutators, Khartoum preprint (1973).Google Scholar
  9. (9).
    G. Calucci, R. Jengo, G. Furlan andC. Rebbi:Phys. Lett.,37 B, 416 (1971).MathSciNetCrossRefADSGoogle Scholar
  10. (10).
    H. Leutwyler andP. Otterson:Theoretical problems in deep inelastic scattering, Bern preprint (1972).Google Scholar
  11. (11).
    J. W. Meyer andH. Suura:Phys. Rev.,160, 1366 (1967).CrossRefADSGoogle Scholar
  12. (12).
    It is shown in ref.(8) that this assumption gives, from the «equal-time» causality sum rules of ref.(11), the «light-cone» causality sum rules of ref. (13).Google Scholar
  13. (13).
    H. Leutwyler andJ. Stern:Phys. Lett.,31 B, 458 (1970).CrossRefADSGoogle Scholar
  14. (16).
    B. Schroer andP. Stichel:Comm. Math. Phys.,3, 258 (1966).MathSciNetCrossRefADSzbMATHGoogle Scholar
  15. (17).
    J. L. Gervais:Phys. Rev.,169, 1365 (1968).CrossRefADSzbMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1973

Authors and Affiliations

  • M. O. Taha
    • 1
  1. 1.International Centre for Theoretical PhysicsTrieste

Personalised recommendations